Question

(125^2 +25^2) (5^2-1) is divisible by 3

Answer 1

Answer:

See Below.

Step-by-step explanation:

We want to prove that the expression:

$(125^2+25^2)(5^2-1)$

Is divisible by three.

We can simplify the second factor:

$=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)$

Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.

Answer 2

Answer:

It is divisible by 3.

Step-by-step explanation:

(125² + 25²)(5² - 1) ÷ 3

(15625 + 625)(25 - 1) ÷ 3

(16250)(24) ÷ 3

390000 ÷ 3

130000